10-5 Angles of Elevation and Depression
The player will not score, because 5.4 > 5.
4. HOCKEY A hockey player takes a shot 20 feet away from a 5-foot goal. If the puck travels at a
angle of elevation toward the center of the goal,
will the player score?
5. MOUNTAINS Find the angle of elevation to the
peak of a mountain for an observer who is 155
meters from the mountain if the observer’s eye is 1.5
meters above the ground and the mountain is 350
meters tall.
SOLUTION: SOLUTION: Since we are finding the side opposite the given angle
(height of puck at goal) and know the side adjacent
( distance from the goal), we can use the tangent
function. Let x be the height of the puck at the goal.
Since we know the side opposite the angle of
elevation, as well as the side adjacent to it, we will
use the tangent function. Let x be the angle of elevation.
Use a calculator, in degree mode.
The player will not score, because 5.4 > 5.
5. MOUNTAINS Find the angle of elevation to the
peak of a mountain for an observer who is 155
meters from the mountain if the observer’s eye is 1.5
meters above the ground and the mountain is 350
meters tall.
SOLUTION: The angle of elevation is about 66 degrees. 6. WATERPARK Two water slides are 50 meters
apart on level ground. From the top of the taller
slide, you can see the top of the shorter slide at an
angle of depression of 15°. If you know that the top
of the other slide is approximately 15 meters above
the ground, about how far above the ground are
you? Round to the nearest tenth of a meter.
Since we know the side opposite the angle of
elevation, as well as the side adjacent to it, we will
use the tangent function. eSolutions
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SOLUTION: 10-5 Angles of Elevation and Depression
The angle of elevation is about 66 degrees. 6. WATERPARK Two water slides are 50 meters
apart on level ground. From the top of the taller
slide, you can see the top of the shorter slide at an
angle of depression of 15°. If you know that the top
of the other slide is approximately 15 meters above
the ground, about how far above the ground are
you? Round to the nearest tenth of a meter.
SOLUTION: Since the slides are 50 meters apart, the top side of
the triangle has a length of 50 meters. Let y
represent the length of the vertical leg of the right
triangle. The height of the taller slide x is equal to the
sum of 15 and y.
Therefore, from the top of the taller slide you are
about 28.4 meters above the ground.
7. AVIATION Due to a storm, a pilot flying at an
altitude of 528 feet has to land early. If he has a
horizontal distance of 2000 feet to land, at what angle
of depression should he land?
SOLUTION: 28. Ryan wanted to know the height of a cell-phone
tower neighboring his property. He walked 80 feet
from the base of the tower and measured the angle
of elevation to the top of the tower at
. If Ryan is
5 feet tall, what is the height of the cell-phone tower?
A 52 ft
B 63 ft
C 110 ft
D 115 ft
SOLUTION: Assume that x + 5 feet is the height of the cell-phone
tower because Ryan is 5 feet tall.
Therefore, from the top of the taller slide you are
about 28.4 meters above the ground.
7. AVIATION Due to a storm, a pilot flying at an
altitude of 528 feet has to land early. If he has a
horizontal distance of 2000 feet to land, at what angle
of depression should he land?
SOLUTION: Therefore, the height of the cell-phone tower is about
110+5=115 feet tall.
So, the correct choice is D.
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28. Ryan wanted to know the height of a cell-phone
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10-5 Angles of Elevation and Depression
28. Ryan wanted to know the height of a cell-phone
tower neighboring his property. He walked 80 feet
from the base of the tower and measured the angle
of elevation to the top of the tower at
. If Ryan is
5 feet tall, what is the height of the cell-phone tower?
A 52 ft
B 63 ft
C 110 ft
D 115 ft
SOLUTION: Assume that x + 5 feet is the height of the cell-phone
tower because Ryan is 5 feet tall.
Therefore, the height of the cell-phone tower is about
110+5=115 feet tall.
So, the correct choice is D.
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